Solving the problem from the quiz in mathematics, Vasya received the answer in the form of union of n segments [li, ri] on the number line. However, some of these segments may intersect with each other, that Vasya does not like too much.

Your task is to present Vasya's answer as a union of the minimum number of segments.

Input

The first line contains number n (1 ≤ n ≤ 50000). The following n lines contain pairs of integers li and ri (|li|, |ri| ≤ 50000), each pair is on a new line, numbers in pairs are separated from each other by one or more spaces.

Output

On the first line print number m - the number of segments in the desired union. In the next m lines print these segments in the same format as in the input. The list of segments must be sorted in ascending order of the left end.